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Implementing Markov's Limiting Curvature Hypothesis
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The effective action for gravity at high curvatures is likely to contain higher derivative terms. These corrections may have profound consequences for the singularity structure of space-time and for early Universe cosmology. In this contribution, recent work is reviewed which demonstrates that it is possible to construct a class of effective gravitational actions for which all solutions with sufficient symmetries have limited curvature and are nonsingular. Near the limiting curvature, the coupling between matter and gravity goes to zero and in this sense the theory is asymptotically free.
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Cited by 2 Pith papers
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Regular black holes inspired by quasi-topological gravity
A new family of 2D dilaton-gravity models produces exact, regular black hole metrics whose curvature obeys a universal scaling law and a linear master equation.
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